9575556480 has 768 divisors, whose sum is σ = 40521254400. Its totient is φ = 2129670144.

The previous prime is 9575556479. The next prime is 9575556509. The reversal of 9575556480 is 846555759.

9575556480 is a `hidden beast` number, since 9 + 5 + 7 + 5 + 556 + 4 + 80 = 666.

9575556480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36408829 + ... + 36409091.

It is an arithmetic number, because the mean of its divisors is an integer number (52762050).

Almost surely, 2^9575556480 is an apocalyptic number.

9575556480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9575556480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20260627200).

9575556480 is an abundant number, since it is smaller than the sum of its proper divisors (30945697920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9575556480 is a wasteful number, since it uses less digits than its factorization.

9575556480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 54.

The square root of 9575556480 is about 97854.7723925614. The cubic root of 9575556480 is about 2123.5117777281.

The spelling of 9575556480 in words is "nine billion, five hundred seventy-five million, five hundred fifty-six thousand, four hundred eighty".